On the convergence of a Damped Secant method with modified right-hand side vector

作者：Argyros Ioannis K; Cordero Alicia^*; Alberto Magrenan A; Torregrosa J R

来源：Applied Mathematics and Computation, 2015, 252: 315-323.

DOI：10.1016/j.amc.2014.12.029

• Damped Secant method
• Banach space
• Local/semi-local convergence

We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case when the method is defined on R-i, our method provides computable error estimates based on the initial data. Such estimates were not given in relevant studies such as (Herceg et al., 1996; Krejic, 2002). Numerical examples further validating the theoretical results are also presented in this study.

• 出版日期2015-2-1